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Finding the Fourth Proportional to 76,230, 114,415.20 and 38,816.82

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Solution

The fourth proportional to 76,230, 114,415.20 and 38,816.82 is: 58,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230 : 114,415.20 = 38,816.82 : x
  2. Step 2: Convert to fraction form
    76,230/114,415.20 = 38,816.82/x
  3. Step 3: Cross multiply
    76,230x = 114,415.20 × 38,816.82
  4. Step 4: Simplify right side
    76,230x = 4,441,234,223.66
  5. Step 5: Solve for x
    x = 4,441,234,223.66/76,230
  6. Step 6: Final answer
    x = 58,260.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.